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Finding the Fourth Proportional to 431,346.30, 647,019.45 and 195,150.30

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Solution

The fourth proportional to 431,346.30, 647,019.45 and 195,150.30 is: 292,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,346.30 : 647,019.45 = 195,150.30 : x
  2. Step 2: Convert to fraction form
    431,346.30/647,019.45 = 195,150.30/x
  3. Step 3: Cross multiply
    431,346.30x = 647,019.45 × 195,150.30
  4. Step 4: Simplify right side
    431,346.30x = 126,266,039,773.34
  5. Step 5: Solve for x
    x = 126,266,039,773.34/431,346.30
  6. Step 6: Final answer
    x = 292,725.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.